Question

On a separate piece of graph paper, graph y = -|x| + 1; then click on the graph until the correct one appears.

Answer 1

|x| is tricky but maybe I can tell you so that it's clear 4ever.

You have to look at when what's inside the absolute value iszero. In this case x=0. That easy. Then, you have to split the cases:

For x>= 0, you have y = -x+1,

For x<=0, you have y = -(-x) + 1 = x+1, because abs(x)=-x, if x<=0.

Notice that x=0 is included in either case, because |x| is continuous.

Then plot each line choosing a couple of points, notice that for one case you should choose x=-1, -2, or x=0, but not positive values, and the other way for the case with x>=0.

Best

Answer 2

Select the correct option similar to given graph.

Explanation:

The below graph shows the plot for y = -|x| + 1.

Select the correct option similar to given graph.